#include "beechtree.h"
#include <bits/stdc++.h>
using namespace std;
vector<int> beechtree(int N, int M, vector<int> P, vector<int> C) {
vector<int> ret(N);
vector<vector<int>> child(N);
for (int i = 1; i < N; i++) child[P[i]].push_back(i);
vector<int> maxdeg(N);
vector<array<int, 2>> have(N);
for (int i = N-1; i >= 0; i--) {
ret[i] = true;
for (int v : child[i]) {
maxdeg[i] = max(maxdeg[i], maxdeg[v]);
have[i][0] += have[v][0];
have[i][1] += have[v][1];
}
if (maxdeg[i] >= 2 || child[i].size() > 2) ret[i] = false;
maxdeg[i] = max(maxdeg[i], (int)child[i].size());
if (maxdeg[i] == 2) {
int sp[2] = {0, 0};
for (int v : child[i]) sp[C[v]-1]++;
if (have[i][0] > sp[0] && have[i][1] > sp[1]) ret[i] = false;
} else {
if (have[i][0] > 0 && have[i][1] > 0) ret[i] = false;
}
have[i][C[i]-1]++;
}
return ret;
}
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